Find the center and the radius of the circle.
-$$7 x ^ { 2 } + 7 y ^ { 2 } = 49$$
A) center $( 7,7 )$, radius $= \sqrt { 7 }$
B) center $( 0,0 )$, radius $= 7$
C) center $( 0,0 )$, radius $= \sqrt { 7 }$
D) center $( 0,0 )$, radius $= 49$

Question

Quizplus · Accepted Answer

The given equation can be rewritten as $(x^2 + y^2) = 7$ by dividing the entire equation by 7. This is a standard form of a circle equation $(x-h)^2 + (y-k)^2 = r^2$ with center $(h,k) = (0,0)$ and radius $r = \sqrt{7}$.

Find the Center and the Radius of the Circle 7x2+7y2=497 x ^ { 2 } + 7 y ^ { 2 } = 497x2+7y2=49

Find the Center and the Radius of the Circle $7 x ^ { 2 } + 7 y ^ { 2 } = 49$